<h2>Problem 39</h2>
<div style="color:#666;font-size:80%;">14 March 2003</div><br />
<div class="problem_content">
<p>If <i>p</i> is the perimeter of a right angle triangle with integral length sides, {<i>a</i>,<i>b</i>,<i>c</i>}, there are exactly three solutions for <i>p</i> = 120.</p>
<p style=\'text-align:center;\'>{20,48,52}, {24,45,51}, {30,40,50}</p>
<p>For which value of <i>p</i> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> 1000, is the number of solutions maximised?</p>

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